skip to content
Stable mappings and their singularities Preview this item
ClosePreview this item
Checking...

Stable mappings and their singularities

Author: Martin Golubitsky; Victor Guillemin
Publisher: Berlin ; New York : Springer-Verlag, 1973.
Series: Graduate texts in mathematics, 14.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The study of stable singularities is based on the now classical theories of Hassler Whitney, who determined the generic singularities (or lack of them) of Rn ~ Rm (m ~ 2n - 1) and R2 ~ R2, and  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Martin Golubitsky; Victor Guillemin
ISBN: 3540900721 9783540900726 038790073X 9780387900735 354090073X 9783540900733 0387900721 9780387900728
OCLC Number: 230128582
Description: xii, 209 pages.
Contents: I: Preliminaries on Manifolds.- 1. Manifolds.- 2. Differentiable Mappings and Submanifolds.- 3. Tangent Spaces.- 4. Partitions of Unity.- 5. Vector Bundles.- 6. Integration of Vector Fields.- II: Transversality.- 1. Sard's Theorem.- 2. Jet Bundles.- 3. The Whitney C? Topology.- 4. Transversality.- 5. The Whitney Embedding Theorem.- 6. Morse Theory.- 7. The Tubular Neighborhood Theorem.- III: Stable Mappings.- 1. Stable and Infinitesimally Stable Mappings.- 2. Examples.- 3. Immersions with Normal Crossings.- 4. Submersions with Folds.- IV: The Malgrange Preparation Theorem.- 1. The Weierstrass Preparation Theorem.- 2. The Malgrange Preparation Theorem.- 3. The Generalized Malgrange Preparation Theorem.- V: Various Equivalent Notions of Stability.- 1. Another Formulation of Infinitesimal Stability.- 2. Stability Under Deformations.- 3. A Characterization of Trivial Deformations.- 4. Infinitesimal Stability => Stability.- 5. Local Transverse Stability.- 6. Transverse Stability.- 7. Summary.- VI: Classification of Singularities, Part I: The Thom-Boardman Invariants.- 1. The Sr Classification.- 2. The Whitney Theory for Generic Mappings between 2-Manifolds.- 3. The Intrinsic Derivative.- 4. The Sr,s Singularities.- 5. The Thom-Boardman Stratification.- 6. Stable Maps Are Not Dense.- VII: Classification of Singularities, Part II: The Local Ring of a Singularity.- 1. Introduction.- 2. Finite Mappings.- 3. Contact Classes and Morin Singularities.- 4. Canonical Forms for Morin Singularities.- 5. Umbilics.- 6. Stable Mappings in Low Dimensions.- A. Lie Groups.- Symbol Index.
Series Title: Graduate texts in mathematics, 14.
Responsibility: M. Golubitsky [and] V. Guillemin.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/230128582> # Stable mappings and their singularities
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "230128582" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1803178#Place/berlin> ; # Berlin
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/1803178#Topic/singularidades_topologia_diferencial> ; # Singularidades (Topologia Diferencial)
   schema:about <http://id.worldcat.org/fast/1008724> ; # Mappings (Mathematics)
   schema:about <http://dewey.info/class/516/> ;
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/68999296> ; # Victor Guillemin
   schema:creator <http://viaf.org/viaf/262682699> ; # Martin Golubitsky
   schema:datePublished "1973" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1803178> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1803178#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
   schema:name "Stable mappings and their singularities"@en ;
   schema:productID "230128582" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/230128582#PublicationEvent/berlin_new_york_springer_verlag_1973> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1803178#Agent/springer_verlag> ; # Springer-Verlag
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2008804&custom%5Fatt%5F2=simple%5Fviewer> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2008804&custom_att_2=simple_viewer> ;
   schema:url <http://swbplus.bsz-bw.de/bsz004284895cov.htm> ;
   schema:workExample <http://worldcat.org/isbn/9783540900726> ;
   schema:workExample <http://worldcat.org/isbn/9780387900735> ;
   schema:workExample <http://worldcat.org/isbn/9780387900728> ;
   schema:workExample <http://worldcat.org/isbn/9783540900733> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/230128582> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/1803178#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/1803178#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/230128582> ; # Stable mappings and their singularities
   schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1803178#Topic/singularidades_topologia_diferencial> # Singularidades (Topologia Diferencial)
    a schema:Intangible ;
   schema:name "Singularidades (Topologia Diferencial)"@en ;
    .

<http://id.worldcat.org/fast/1008724> # Mappings (Mathematics)
    a schema:Intangible ;
   schema:name "Mappings (Mathematics)"@en ;
    .

<http://viaf.org/viaf/262682699> # Martin Golubitsky
    a schema:Person ;
   schema:familyName "Golubitsky" ;
   schema:givenName "Martin" ;
   schema:name "Martin Golubitsky" ;
    .

<http://viaf.org/viaf/68999296> # Victor Guillemin
    a schema:Person ;
   schema:familyName "Guillemin" ;
   schema:givenName "Victor" ;
   schema:name "Victor Guillemin" ;
    .

<http://worldcat.org/isbn/9780387900728>
    a schema:ProductModel ;
   schema:isbn "0387900721" ;
   schema:isbn "9780387900728" ;
    .

<http://worldcat.org/isbn/9780387900735>
    a schema:ProductModel ;
   schema:isbn "038790073X" ;
   schema:isbn "9780387900735" ;
    .

<http://worldcat.org/isbn/9783540900726>
    a schema:ProductModel ;
   schema:isbn "3540900721" ;
   schema:isbn "9783540900726" ;
    .

<http://worldcat.org/isbn/9783540900733>
    a schema:ProductModel ;
   schema:isbn "354090073X" ;
   schema:isbn "9783540900733" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.